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Finding the Fourth Proportional to 248.36, 342.64 and 148.72

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Solution

The fourth proportional to 248.36, 342.64 and 148.72 is: 205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.36 : 342.64 = 148.72 : x
  2. Step 2: Convert to fraction form
    248.36/342.64 = 148.72/x
  3. Step 3: Cross multiply
    248.36x = 342.64 × 148.72
  4. Step 4: Simplify right side
    248.36x = 50,957.42
  5. Step 5: Solve for x
    x = 50,957.42/248.36
  6. Step 6: Final answer
    x = 205.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.